Question

How do I write parametric equations of the line 2x+3y=11​

Answer 1

This line is in standard form, and the first thing we need to do is convert it into point - slope form or simply isolate y -

2x + 3y = 11, Subtract 2x from either side

3y = - 2x + 11, Divide either side by 3

y = ( - 2x + 11 ) / 3

To derive the parametric equation say x = t -

y = ( - 2t + 11 ) / 3,

or in other words

Solution = y = ( 11 - 2t ) / 3